Zobrazeno 1 - 10
of 79
pro vyhledávání: '"Aleksandr A. Belov"'
Publikováno v:
Discrete and Continuous Models and Applied Computational Science, Vol 31, Iss 2, Pp 128-138 (2023)
The calculation of quadratures arises in many physical and technical applications. The replacement of integration variables is proposed, which dramatically increases the accuracy of the formula of averages. For infinitely smooth integrand functions,
Externí odkaz:
https://doaj.org/article/41bb767fee9c46459d191717b94231cc
Autor:
Aleksandr A. Belov
Publikováno v:
Discrete and Continuous Models and Applied Computational Science, Vol 31, Iss 2, Pp 120-127 (2023)
The paper describes a grid method for solving an ill-posed problem for the Fredholm equation of the first kind using the A. N. Tikhonov regularizer. The convergence theorem for this method was formulated and proved. A procedure for thickening grids w
Externí odkaz:
https://doaj.org/article/f4f0228a067842a5ae183e9293fc4db9
Autor:
Aleksandr A. Belov, Igor V. Gorbov
Publikováno v:
Discrete and Continuous Models and Applied Computational Science, Vol 31, Iss 3, Pp 218-227 (2023)
Solutions of many applied Cauchy problems for ordinary differential equations have one or more multiple zeros on the integration segment. Examples are the equations of special functions of mathematical physics. The presence of multiples of zeros sign
Externí odkaz:
https://doaj.org/article/631d40337473467e92536d50056d27db
Autor:
Aleksandr A. Belov, Valery P. Bereznev, Galina S. Blokhina, Dmitry P. Veprev, Dmitry A. Koltashev, Vladimir S. Potapov, Olga I. Chertovskikh, Aleksey V. Shershov
Publikováno v:
Nuclear Energy and Technology, Vol 8, Iss 4, Pp 261-265 (2022)
The paper presents the results of the development of the EUCLID/V1 integrated dynamic code designed to analyze and justify the safety of fast neutron reactor facilities with a liquid-metal coolant, in terms of simulating the reactor campaign. The rel
Externí odkaz:
https://doaj.org/article/879c9b86970042c8ab7599a68748edf5
Publikováno v:
Discrete and Continuous Models and Applied Computational Science, Vol 30, Iss 2, Pp 105-114 (2022)
We consider Cauchy problem for ordinary differential equation with solution possessing a sequence of multiple poles. We propose the generalized reciprocal function method. It reduces calculation of a multiple pole to retrieval of a simple zero of acc
Externí odkaz:
https://doaj.org/article/2f199b8e63674e2fb84ecbe8efd93c98
Autor:
Aleksandr A. Belov, Maxim A. Tintul
Publikováno v:
Discrete and Continuous Models and Applied Computational Science, Vol 29, Iss 3, Pp 260-270 (2021)
Multidimensional integrals arise in many problems of physics. For example, moments of the distribution function in the problems of transport of various particles (photons, neutrons, etc.) are 6-dimensional integrals. When calculating the coefficients
Externí odkaz:
https://doaj.org/article/e18609568c5e4236b84dc0c21d03d9cb
Publikováno v:
Discrete and Continuous Models and Applied Computational Science, Vol 29, Iss 3, Pp 251-259 (2021)
In many applied problems, efficient calculation of quadratures with high accuracy is required. The examples are: calculation of special functions of mathematical physics, calculation of Fourier coefficients of a given function, Fourier and Laplace tr
Externí odkaz:
https://doaj.org/article/81a5dc628f9246f4b029d2971e342d38
Autor:
Aleksandr Sergeevich Belov
Publikováno v:
Trudy Matematicheskogo Instituta imeni V.A. Steklova. 319:29-50
Доказывается, что для каждого натурального $n$ сопряженное ядро Дирихле $\widetilde {D}_n(x)=\sum _{k=1}^{n}\sin (kx)$ полуаддитивно на отрезке $[0,2\pi ]$, т.е. дл
Autor:
Aleksandr Anatolievich Belov, Valerij Pavlovich Bereznev, Galina Sergeevna Blokhina, Dmitry Pavlovich Veprev, Dmitry Aleksandrovich Koltashev, Vladimir Sergeevich Potapov, Olga Igorevna Chertovskikh, Aleksey Vladimirovich Shershov
Publikováno v:
Izvestiya Wysshikh Uchebnykh Zawedeniy, Yadernaya Energetika. 2022:138-147
Publikováno v:
IFAC-PapersOnLine. 55:169-174